Finding the Third Proportional to 3,822.75 and 9,488.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822.75 : 9,488.25 = 9,488.25 : x
2. Step 2: Convert to fraction form
   3,822.75/9,488.25 = 9,488.25/x
3. Step 3: Cross multiply
   3,822.75x = 9,488.25 × 9,488.25
4. Step 4: Simplify right side
   3,822.75x = 90,026,888.06
5. Step 5: Solve for x
   x = 90,026,888.06/3,822.75
6. Step 6: Final answer
   x = 23,550.29